Import Question JSON

Current Question (ID: 20075)

Question:

$\text{Three charges } +Q, q, +Q \text{ are placed respectively, at a distance, } 0, \frac{d}{2} \text{ and } d \text{ from the origin, on the } x\text{-axis. If the net force experienced by } +Q, \text{ placed at } x = 0, \text{ is zero, then the value of } q \text{ is:}$

Options:

1. $-\frac{Q}{4}$
2. $+\frac{Q}{2}$
3. $+\frac{Q}{4}$
4. $-\frac{Q}{2}$

Solution:

$\text{Hint: } F = \frac{kQq}{R^2}$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}